Global Analysis Of A Stage-structured Predator-prey Model With Beddington-DeAngelis Functional Response

This paper considers a stage structured predator-prey model of Beddington-DeAngelis type functional response. The time delay is the time taken from birth to maturity about the prey. By using the means of qualitative analysis, local behavior of the equilibria is gotten. Then global attractiveness of the equilibria is proved provided they are locally stable under their respective conditions. Moreover, global stability is established for each locally stable equilibrium.This paper is organized as follow. In section 1, we introduce some backgroud knowledge about biological model. Next section, we present some important lemmas. Then we get local stability of the equilibria and permanence of the positive equilibrium for (1.7) in section 3. This is followed by a section on the global attractiveness of the equilibria, then global asymptotically stability is gotten.